Here are a couple problems I could use some help with. I am sure Ican solve them, but I am not too sure I can "prove" how they work.

Here they are:

1.) Find a number with these three properties: when you divide thenumber by 7, the remainder is 4; when you divide the original numberby 11, the remainder is 2; when you divide the original number by 13,the remainder is 9.

2.) Find a number with these three properties: when you divide thenumber by 7, the remainder is "s"; when you divide the number by 11;the remainder is "e", and when you divide the number by 13, theremainder is "t"

3.) Generalize the Chinese remainder theorem to 4 remainders: find aformula that will work, when you are a given remainders by 5, 7, 11,and 13.

If there is anyone out there that can help me with this and knows alittle about Chinese Theorem properties, that would be most helpful!!!